Some CAHC Explorations¶

  • Moon Longitude and Longitude Diff by sidereal cycle
  • Moon Longitude by sidereal cycle
  • Interpolate the time series mdf
  • Nakshatras Meta Data
  • Moon Dwell Time by Nakshatra
  • Explore longitude diff at Full Moon between Moon and other Gruhas
  • Explore Relation of Full Moon to Maasa Names
  • Mars and Moon Parvas
  • Eclipses
  • Eclipse Triples
  • Sundial
  • Kausitiki Brahmana Punarvasu

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/Users/sunder/miniforge3/envs/tfmetal/lib/python3.9/site-packages/erfa/core.py:154: ErfaWarning: ERFA function "dtf2d" yielded 1 of "dubious year (Note 6)"
  warnings.warn('ERFA function "{}" yielded {}'.format(func_name, wmsg),
/Users/sunder/miniforge3/envs/tfmetal/lib/python3.9/site-packages/erfa/core.py:154: ErfaWarning: ERFA function "utctai" yielded 1 of "dubious year (Note 3)"
  warnings.warn('ERFA function "{}" yielded {}'.format(func_name, wmsg),
WARNING: Tried to get polar motions for times before IERS data is valid. Defaulting to polar motion from the 50-yr mean for those. This may affect precision at the arcsec level. Please check your astropy.utils.iers.conf.iers_auto_url and point it to a newer version if necessary. [astropy.coordinates.builtin_frames.utils]
/Users/sunder/miniforge3/envs/tfmetal/lib/python3.9/site-packages/erfa/core.py:154: ErfaWarning: ERFA function "utcut1" yielded 1 of "dubious year (Note 3)"
  warnings.warn('ERFA function "{}" yielded {}'.format(func_name, wmsg),
/Users/sunder/miniforge3/envs/tfmetal/lib/python3.9/site-packages/erfa/core.py:154: ErfaWarning: ERFA function "taiutc" yielded 1 of "dubious year (Note 4)"
  warnings.warn('ERFA function "{}" yielded {}'.format(func_name, wmsg),
/Users/sunder/miniforge3/envs/tfmetal/lib/python3.9/site-packages/erfa/core.py:154: ErfaWarning: ERFA function "epv00" yielded 1 of "warning: date outsidethe range 1900-2100 AD"
  warnings.warn('ERFA function "{}" yielded {}'.format(func_name, wmsg),

Moon Longitude and Longitude Diff by sidereal cycle ¶

  • For about a year moon longitude and longitude diff plotted every 4 hours
  • Purpose is to spot patterns in rate of longitude change over the course of multiple sidereal cycles.

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loaded ../datasets/sun_moon_pos_-1000-01-01_for_100_years_in_0.167_jd_steps.csv

Moon Longitude by sidereal cycle ¶

  • Polar plot of moon's longitude (theta) vs. earth-moon distance (r)
  • First plot is for about an year
  • Second plot is for about a year but starting a 2.5 years later
  • Third plot is for about 5 years
  • All plots show poornima and amavasya
  • Purpose is to see if the parvas show any affinity to certain longitudes ( nakshatras)

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loaded ../datasets/sun_moon_pos_-1000-01-01_for_100_years_in_0.167_jd_steps.csv

Interpolate the time series - add 2 additional equally spaced points between two 6 hour observation ¶

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Interpolating ... 0.00 seconds - 0 rows - 1 chunks 
Interpolating ... 0.67 seconds - 50000 rows - 50001 chunks 
Interpolating ... 1.34 seconds - 100000 rows - 100001 chunks 
Interpolating ... 2.02 seconds - 150000 rows - 150001 chunks 
Interpolating ... 2.68 seconds - 200000 rows - 200001 chunks 
Concatenating ... 2.93 seconds -  218999 chunks 
Done Concatenating ... 3.62 seconds
Projecting phase ... 3.62 seconds

Pandas Apply: 100%|██████████| 656997/656997 [00:00<00:00, 2015599.61it/s]

Done Projecting phase ... 4.02 seconds

(656997, 7)
99.93094501483033
((656997,), 0.055333333322778344, 0.05566666671074927, 0.055555555386435806)

100 years of Moon Lat Long and Phase - 30 of 656,997 rows

between two consecutive readings 6 hours apart
interpolated with 2 additional points equally spaced
  jd elati_Moon elong_Moon elong_Sun r_Moon phase_Moon ts moon_lon_diff
0 1355817.50 4.99 274.97 281.12 62.77 -6.15 0.00 nan
1 1355817.56 4.99 275.65 281.17 62.74 -5.52 0.06 0.68
2 1355817.61 4.99 276.33 281.23 62.72 -4.90 0.11 0.68
3 1355817.67 4.99 277.01 281.28 62.69 -4.27 0.17 0.68
4 1355817.72 4.99 277.70 281.34 62.66 -3.64 0.22 0.68
5 1355817.78 4.99 278.38 281.40 62.63 -3.02 0.28 0.68
6 1355817.83 4.99 279.06 281.45 62.60 -2.39 0.33 0.68
7 1355817.89 4.99 279.75 281.51 62.58 -1.76 0.39 0.69
8 1355817.94 4.98 280.43 281.56 62.55 -1.13 0.44 0.69
9 1355818.00 4.98 281.12 281.62 62.52 -0.50 0.50 0.69
10 1355818.06 4.97 281.81 281.68 62.49 0.13 0.56 0.69
11 1355818.11 4.97 282.49 281.73 62.46 0.76 0.61 0.69
12 1355818.17 4.96 283.18 281.79 62.43 1.39 0.67 0.69
13 1355818.22 4.96 283.87 281.84 62.40 2.02 0.72 0.69
14 1355818.28 4.95 284.56 281.90 62.37 2.66 0.78 0.69
JD Diff Spread
  jd
(-0.1, -0.06] 0
(-0.06, -0.05] 0
(-0.05, 0.0] 0
(0.0, 0.05] 0
(0.05, 0.06] 656996
(0.06, 1.0] 0
Moon Lon Diff Spread
  elong_Moon
(-360.0, -1.0] 0
(-1.0, -0.5] 0
(-0.5, 0.0] 0
(0.0, 0.5] 0
(0.5, 1.0] 656996
(1.0, 360.0] 0

Nakshatras Meta Data ¶

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Nakshatras Meta Data
  nnid nid naks enaks daivata marga veethi shape vgj cnt vgj stars proxy sname hip abh stars lon eq lon ue scp muhurta scp lon proxy lon 0445 bce proxy lat 0445 bce proxy lon 1479 bce proxy lat 1479 bce
0 1 N01-Ash अश्विनी Aśvayuk Aśvini Madhyama Go Horseneck 3 (α,β,γ) Ari β Ari Sheratan HIP 8903 β Ari 0.0 0.0 30.0 351.7 0.0 8.4 345.7 8.4
1 2 N02-Bha भरणी Bharaṇī Yama Uttara Naga Bhaga (Perineum) 3 (35,39,41) Ari * 41 Ari Bharani HIP 13209 41 Ari 13.3 13.3 15.0 4.8 14.3 10.3 0.0 10.2
2 3 N03-Kri क्रित्तिका Kṛttikā Agni Uttara Naga Knife/Cleaver 6 (17,19,20,23,27,η) Tau η Tau Alcyone HIP 17702 η Tau 26.7 20.0 30.0 11.4 26.0 3.8 11.8 3.7
3 4 N04-Roh रोहिणी Rohiṇī Prajāpati Uttara Gaja Cart 5 (α,γ,λ) Ori α Tau Aldebaran HIP 21421 α Tau 40.0 33.3 45.0 24.6 35.8 -5.6 21.5 -5.7
4 5 N05-Mrg मृगशीर्ष Mṛgaśira Soma Uttara Gaja Deer’s Head 3 (γ) Gem λ Ori Meissa(Heka) HIP 26207 λ Ori 53.3 53.3 30.0 44.4 49.7 -13.7 35.5 -13.8
5 6 N06-Ard आर्द्रा Ārdrā Rudra Uttara Gaja Bāhuḥ (Arm)/Red Dot 1 (α,γ,δ1,ε,θ2) Tau γ Gem Alhena(Almeisan) HIP 31681 γ Gem 66.7 66.7 15.0 57.6 65.1 -7.0 50.9 -7.2
6 7 N07-Pun पुनर्वसू Punarvasu Aditi Uttara Airavati Balance 2 (α,β) Gem β Gem Pollux HIP 37826 β Gem 80.0 73.3 45.0 64.1 79.6 6.6 65.5 6.5
7 8 N08-Pus पुष्य Puṣya Bṛhaspati Uttara Airavati Śarāva (Pot-lid) 1 (δ) Cnc δ Cnc Asellus Australis HIP 42911 δ Cnc 93.3 93.3 30.0 83.9 94.7 -0.0 80.4 -0.1
8 9 N09-Asl आश्लेषा Āśleṣā Sarpa Uttara Airavati Snake Head/Flag 6 (δ,ε,ζ,η,ρ,σ) Hya ζ Hya Minazal V HIP 43813 ζ Hya 106.7 106.7 15.0 97.1 100.7 -11.2 86.5 -11.3
9 10 N10-Mag मघा Maghā Pitṛ Uttara Airavati Enclosure 6 (α,γ1,ε,ζ,η,μ) Leo ζ Leo Adhafera HIP 50335 α Leo 120.0 113.3 30.0 103.7 113.5 11.7 99.2 11.6
10 11 N11-PPal पूर्वफल्गुनी P Phalgunī Bhaga Madhyama Arshabi Half-chair 2 (δ,θ) Leo δ Leo Zosma HIP 54872 δ Leo 133.3 126.7 30.0 116.9 127.1 14.3 112.8 14.2
11 12 N12-UPal उत्तरफल्गुनी U Phalgunī Aryaman Madhyama Arshabi Half-chair 2 (93,β) Leo β Leo Denebola HIP 57632 β Leo 146.7 140.0 45.0 130.0 137.9 12.4 123.7 12.5
12 13 N13-Has हस्त Hasta Savitṛ Dakshina Mrga Hasta (hand) 5 (α,β,γ,δ,ε) Crv δ Crv Algorab HIP 60965 γ Crv 160.0 160.0 30.0 149.8 159.6 -12.0 145.4 -11.9
13 14 N14-Chi चित्रा Citrā Tvaṣṭṛ Dakshina Mrga Madhupuṣpa (Flower) 1 (α) Vir α Vir Spica HIP 65474 α Vir 173.3 173.3 30.0 163.0 169.9 -1.9 155.6 -1.8
14 15 N15-Swa स्वाती Svātī Vāyu Uttara Naga Kīlaka (Wedge) 1 (α) Boo α Boo Arcturus HIP 69673 α Boo 186.7 186.7 15.0 176.2 170.1 32.5 155.8 33.3
15 16 N16-Vis विशाखे Viśākhā Indrāgnī Dakshina Ajaavika Divider Rope 2 (α1,α2) Lib α2 Lib Zubenelgenubi HIP 72622 α Lib 200.0 193.3 45.0 182.8 191.2 0.6 176.9 0.7
16 17 N17-Anu अनूराधा Anūrādhā Mitra Dakshina Ajaavika Necklace 4 (β1,δ,π,ω1) Sco δ Sco Dschubba HIP 78401 δ Sco 213.3 213.3 30.0 202.5 208.6 -1.7 194.3 -1.5
17 18 N18-Jye ज्येष्ठा Jyeṣṭhā Indra Dakshina Vaishvaanari Elephant Tusk 3 (α,ε,σ,(τ)) Sco ε Sco Larawag HIP 82396 α Sco 226.7 226.7 15.0 215.7 221.7 -11.1 207.6 -10.8
18 19 N19-Mul मूल Mūla Nirṛti Dakshina Vaishvaanari Root/Scorpion Tail" 6 (ζ2,θ,ι1,κ,λ,ν) Sco κ Sco Mula HIP 86670 λ Sco 240.0 233.3 30.0 222.3 232.5 -15.3 218.3 -15.2
19 20 N20-PAsh पूर्वाषाढा P Aṣāḍhā Ap Dakshina Vaishvaanari Gajavikrama (Elephant Step) 4 (γ,δ,ε,λ) Sgr λ Sgr Kaus Borealis HIP 90496 δ Sgr 253.3 246.7 30.0 235.5 242.4 -1.7 228.2 -1.5
20 21 N21-UAsh उत्तराषाढा U Aṣāḍhā Viśvedevā Dakshina Vaishvaanari Siṁhaniṣadya (Lion seat) 4 (ζ,σ,τ,φ) Sgr τ Sgr Namalsadirah II HIP 93864 σ Sgr 266.7 260.0 45.0 248.7 251.0 -4.6 236.7 -4.4
21 22 N22-Abi अभिजीत Abhijīt ब्रह्मा margaX veethiX nan 4 (α) Lyr α Lyr Vega HIP 91262 α Lyr 274.0 274.0 9.4 268.4 251.3 61.8 237.0 61.9
22 23 N23-Shr श्रवण Śravaṇa Viṣṇu Madhyama Jaradgavi Ear/Yavamadhya (Barleyseed) 3 (α,β,γ) Aql α Aql Altair HIP 97649 β Del 280.0 280.0 30.0 272.6 267.4 29.4 253.0 29.5
23 24 N24-Dha धनिष्ठा Dhaniṣṭhā Vasu Madhyama Jaradgavi Śakuni-pañjara (Bird cage) 4 (α,β,γ2,δ) Del β Del Rotanev HIP 101769 β Aqr 293.3 293.3 30.0 285.8 282.4 32.2 268.2 32.3
24 25 N25-Sha शतभिषक् Śatabhiṣak Varuṇa Madhyama Jaradgavi Puṣpopacāra (Flower Boquet) 1 (λ) Aqr λ Aqr Hydor HIP 112961 α PsA 306.7 306.7 15.0 298.9 307.6 -0.3 293.3 -0.2
25 26 N26-PBha पूर्वाभाद्रपदा P Proṣṭapada Aja Madhyama Go Cow’s Foot 2 (α,β) Peg α Peg Markab HIP 113963 α Peg 320.0 313.3 30.0 305.5 319.6 19.5 305.4 19.5
26 27 N27-UBha उत्तराभाद्रपदा U Proṣṭapada Ahirbudhnya Madhyama Go Cow’s Foot 2 (γ) Peg (α) And γ Peg Algenib HIP 1067 γ Peg 333.3 326.7 45.0 318.7 335.3 12.6 321.0 12.6
27 28 N28-Rev रेवती Revatī Pūṣan Madhyama Go Boat2 1 (ε,(α,ζ)) Psc ε Psc epsPsc HIP 4906 ζ Psc (α And) 346.7 346.7 30.0 338.5 343.6 1.0 329.4 0.9

Moon Dwell Time by Nakshatra ¶

[top](#top_)

Nakshatras per VGJ Proxy 1479 bce Bharanyaadi
  lon proxy scp
muhurta		 span mean
dwell
muhurta		 std
dwell
muhurta
nid            
N01-Ash 345.7 β Ari 30.0 15.3 34.9 2.9
N02-Bha 0.0 * 41 Ari 15.0 13.0 29.7 2.5
N03-Kri 11.8 η Tau 30.0 10.8 24.5 2.1
N04-Roh 21.5 α Tau 45.0 11.8 26.9 2.2
N05-Mrg 35.5 λ Ori 30.0 14.7 33.4 2.7
N06-Ard 50.9 γ Gem 15.0 15.0 34.2 2.8
N07-Pun 65.5 β Gem 45.0 14.8 33.6 2.7
N08-Pus 80.4 δ Cnc 30.0 10.5 23.8 2.0
N09-Asl 86.5 ζ Hya 15.0 9.4 21.3 1.9
N10-Mag 99.2 ζ Leo 30.0 13.2 29.9 2.5
N11-PPal 112.8 δ Leo 30.0 12.2 27.8 2.4
N12-UPal 123.7 β Leo 45.0 16.3 37.1 3.1
N13-Has 145.4 δ Crv 30.0 16.0 36.3 3.0
N14-Chi 155.6 α Vir 30.0 5.2 11.7 1.2
N15-Swa 155.8 α Boo 15.0 10.6 24.2 2.0
N16-Vis 176.9 α2 Lib 45.0 19.3 43.8 3.5
N17-Anu 194.3 δ Sco 30.0 15.4 34.9 2.8
N18-Jye 207.6 ε Sco 15.0 12.0 27.2 2.2
N19-Mul 218.3 κ Sco 30.0 10.3 23.4 2.0
N20-PAsh 228.2 λ Sgr 30.0 9.2 21.1 1.8
N21-UAsh 236.7 τ Sgr 45.0 4.4 10.1 1.1
N22-Abi 237.0 α Lyr 9.4 8.1 18.5 1.6
N23-Shr 253.0 α Aql 30.0 15.6 35.6 3.0
N24-Dha 268.2 β Del 30.0 20.2 46.0 3.7
N25-Sha 293.3 λ Aqr 15.0 18.6 42.4 3.4
N26-PBha 305.4 α Peg 30.0 13.9 13.4 1.2
N27-UBha 321.0 γ Peg 45.0 12.0 27.4 2.2
N28-Rev 329.4 ε Psc 30.0 12.4 46.4 3.7
      

Nakshatras placed per SCP span (tautology?)
  lon proxy scp
muhurta		 span mean
dwell
muhurta		 std
dwell
muhurta
nid            
N01-Ash 351.7 β Ari 30.0 13.2 29.3 2.8
N02-Bha 4.8 * 41 Ari 15.0 9.9 23.2 1.9
N03-Kri 11.4 η Tau 30.0 9.9 22.5 1.9
N04-Roh 24.6 α Tau 45.0 16.5 37.5 3.0
N05-Mrg 44.4 λ Ori 30.0 16.5 37.5 3.0
N06-Ard 57.6 γ Gem 15.0 9.9 22.5 1.9
N07-Pun 64.1 β Gem 45.0 13.2 30.0 2.4
N08-Pus 83.9 δ Cnc 30.0 16.5 37.4 3.0
N09-Asl 97.1 ζ Hya 15.0 9.9 22.5 1.9
N10-Mag 103.7 ζ Leo 30.0 9.9 22.5 1.9
N11-PPal 116.9 δ Leo 30.0 13.2 29.9 2.5
N12-UPal 130.0 β Leo 45.0 16.5 37.5 3.1
N13-Has 149.8 δ Crv 30.0 16.5 37.4 3.1
N14-Chi 163.0 α Vir 30.0 13.2 30.0 2.4
N15-Swa 176.2 α Boo 15.0 9.9 22.5 1.9
N16-Vis 182.8 α2 Lib 45.0 13.2 30.0 2.4
N17-Anu 202.5 δ Sco 30.0 16.5 37.5 3.0
N18-Jye 215.7 ε Sco 15.0 9.9 22.5 1.9
N19-Mul 222.3 κ Sco 30.0 9.9 22.5 1.9
N20-PAsh 235.5 λ Sgr 30.0 13.2 30.1 2.5
N21-UAsh 248.7 τ Sgr 45.0 16.5 37.6 3.1
N22-Abi 268.4 α Lyr 9.4 12.0 27.2 2.3
N23-Shr 272.6 α Aql 30.0 8.7 19.8 1.7
N24-Dha 285.8 β Del 30.0 13.2 30.1 2.4
N25-Sha 298.9 λ Aqr 15.0 9.9 22.6 1.9
N26-PBha 305.5 α Peg 30.0 9.9 22.5 1.9
N27-UBha 318.7 γ Peg 45.0 16.5 37.6 3.0
N28-Rev 338.5 ε Psc 30.0 16.5 37.6 3.1
      

Nakshatras per VGJ Proxy 445 bce Ashwinyaadi
  lon proxy scp
muhurta		 span mean
dwell
muhurta		 std
dwell
muhurta
nid            
N01-Ash 0.0 β Ari 30.0 15.3 34.9 2.9
N02-Bha 14.3 * 41 Ari 15.0 13.0 29.7 2.5
N03-Kri 26.0 η Tau 30.0 10.8 24.5 2.0
N04-Roh 35.8 α Tau 45.0 11.8 27.0 2.2
N05-Mrg 49.7 λ Ori 30.0 14.7 33.3 2.7
N06-Ard 65.1 γ Gem 15.0 15.0 34.0 2.7
N07-Pun 79.6 β Gem 45.0 14.8 33.7 2.7
N08-Pus 94.7 δ Cnc 30.0 10.5 23.9 2.0
N09-Asl 100.7 ζ Hya 15.0 9.4 21.3 1.8
N10-Mag 113.5 ζ Leo 30.0 13.2 30.0 2.5
N11-PPal 127.1 δ Leo 30.0 12.2 27.7 2.4
N12-UPal 137.9 β Leo 45.0 16.3 36.9 3.0
N13-Has 159.6 δ Crv 30.0 16.0 36.4 2.9
N14-Chi 169.9 α Vir 30.0 5.2 11.9 1.2
N15-Swa 170.1 α Boo 15.0 10.6 24.2 2.0
N16-Vis 191.2 α2 Lib 45.0 19.2 43.8 3.5
N17-Anu 208.6 δ Sco 30.0 15.3 34.8 2.8
N18-Jye 221.7 ε Sco 15.0 12.0 27.2 2.3
N19-Mul 232.5 κ Sco 30.0 10.3 23.6 2.0
N20-PAsh 242.4 λ Sgr 30.0 9.2 21.0 1.8
N21-UAsh 251.0 τ Sgr 45.0 4.4 10.2 1.1
N22-Abi 251.3 α Lyr 9.4 8.2 18.8 1.6
N23-Shr 267.4 α Aql 30.0 15.6 35.5 2.9
N24-Dha 282.4 β Del 30.0 20.1 45.8 3.7
N25-Sha 307.6 λ Aqr 15.0 18.6 42.4 3.3
N26-PBha 319.6 α Peg 30.0 13.8 13.3 1.3
N27-UBha 335.3 γ Peg 45.0 12.0 27.4 2.3
N28-Rev 343.6 ε Psc 30.0 12.4 46.5 3.8
jd elati_Moon elong_Moon elong_Sun r_Moon phase_Moon ts moon_lon_diff num_days
0 1355841.39 3.81 233.94 305.07 63.56 -71.14 23.89 0.66 0.00
1 1355841.44 3.84 234.59 305.13 63.57 -70.54 23.94 0.66 0.06
2 1355841.50 3.88 235.25 305.18 63.57 -69.93 24.00 0.66 0.11
3 1355841.56 3.92 235.91 305.24 63.57 -69.33 24.06 0.66 0.17
4 1355841.61 3.96 236.56 305.29 63.57 -68.73 24.11 0.66 0.22
... ... ... ... ... ... ... ... ... ...
19275 1356912.22 0.15 306.92 280.10 62.30 26.82 1094.72 0.69 1070.83
19276 1356912.28 0.09 307.62 280.16 62.33 27.46 1094.78 0.69 1070.89
19277 1356912.33 0.02 308.31 280.21 62.36 28.10 1094.83 0.69 1070.94
19278 1356912.39 -0.04 309.00 280.27 62.39 28.73 1094.89 0.69 1071.00
19279 1356912.44 -0.10 309.69 280.32 62.43 29.37 1094.94 0.69 1071.06

19280 rows × 9 columns

index jd elati_Moon elong_Moon elong_Sun r_Moon phase_Moon ts moon_lon_diff eff_lon eff_lon_next naks_mark naks_cycle seq
num_days
0.00 0 1355817.50 4.99 274.97 281.12 62.77 -6.15 0.00 NaN 0.00 0.68 True 1 0
27.33 492 1355844.83 5.07 275.23 308.50 62.87 -33.27 27.33 0.68 0.27 0.95 True 2 492
54.67 984 1355872.17 5.21 275.11 335.44 62.97 -60.34 54.67 0.68 0.14 0.82 True 3 984
82.06 1477 1355899.56 5.29 275.62 2.01 63.03 -86.39 82.06 0.67 0.66 1.33 True 4 1477
109.33 1968 1355926.83 5.25 275.16 28.14 63.14 -112.98 109.33 0.66 0.20 0.86 True 5 1968
136.61 2459 1355954.11 5.11 275.22 54.11 63.23 -138.88 136.61 0.66 0.26 0.92 True 6 2459
163.89 2950 1355981.39 4.99 275.58 80.09 63.31 -164.51 163.89 0.66 0.62 1.28 True 7 2950
191.11 3440 1356008.61 4.99 275.18 106.23 63.40 168.96 191.11 0.67 0.22 0.88 True 8 3440
218.39 3931 1356035.89 5.10 275.07 132.77 63.46 142.30 218.39 0.67 0.10 0.77 True 9 3931
245.72 4423 1356063.22 5.20 275.16 159.81 63.50 115.35 245.72 0.66 0.19 0.85 True 10 4423
273.06 4915 1356090.56 5.20 275.01 187.28 63.53 87.74 273.06 0.66 0.05 0.71 True 11 4915
300.39 5407 1356117.89 5.07 275.06 215.06 63.55 60.00 300.39 0.66 0.10 0.76 True 12 5407
327.72 5899 1356145.22 4.89 275.57 242.99 63.57 32.58 327.72 0.66 0.60 1.26 True 13 5899
354.94 6389 1356172.44 4.81 275.11 270.70 63.58 4.41 354.94 0.66 0.14 0.80 True 14 6389
382.22 6880 1356199.72 4.85 275.38 298.18 63.57 -22.80 382.22 0.66 0.41 1.07 True 15 6880
409.50 7371 1356227.00 4.95 275.42 325.24 63.55 -49.81 409.50 0.66 0.46 1.11 True 16 7371
436.78 7862 1356254.28 4.99 275.05 351.85 63.52 -76.80 436.78 0.66 0.08 0.75 True 17 7862
464.11 8354 1356281.61 4.90 275.03 18.15 63.49 -103.12 464.11 0.66 0.06 0.72 True 18 8354
491.44 8846 1356308.94 4.72 275.06 44.21 63.45 -129.14 491.44 0.67 0.10 0.76 True 19 8846
518.78 9338 1356336.28 4.55 275.45 70.22 63.41 -154.76 518.78 0.67 0.49 1.15 True 20 9338
546.06 9829 1356363.56 4.50 275.55 96.31 63.34 179.24 546.06 0.66 0.58 1.25 True 21 9829
573.28 10319 1356390.78 4.58 275.20 122.65 63.24 152.56 573.28 0.66 0.24 0.90 True 22 10319
600.56 10810 1356418.06 4.64 275.42 149.46 63.15 125.96 600.56 0.66 0.45 1.11 True 23 10810
627.83 11301 1356445.33 4.60 275.16 176.71 63.05 98.45 627.83 0.67 0.19 0.86 True 24 11301
655.17 11793 1356472.67 4.43 275.02 204.40 62.96 70.62 655.17 0.68 0.06 0.73 True 25 11793
682.56 12286 1356500.06 4.20 275.37 232.35 62.89 43.02 682.56 0.68 0.41 1.09 True 26 12286
709.89 12778 1356527.39 4.07 275.37 260.24 62.79 15.13 709.89 0.68 0.41 1.09 True 27 12778
index jd elati_Moon elong_Moon elong_Sun r_Moon phase_Moon ts moon_lon_diff eff_lon eff_lon_next naks_mark naks_cycle seq
num_days
0.00 0 1355817.50 4.99 274.97 281.12 62.77 -6.15 0.00 NaN 0.00 0.68 True 1 0
0.06 1 1355817.56 4.99 275.65 281.17 62.74 -5.52 0.06 0.68 0.68 1.36 False 1 1
0.11 2 1355817.61 4.99 276.33 281.23 62.72 -4.90 0.11 0.68 1.36 2.05 False 1 2
0.17 3 1355817.67 4.99 277.01 281.28 62.69 -4.27 0.17 0.68 2.05 2.73 False 1 3
0.22 4 1355817.72 4.99 277.70 281.34 62.66 -3.64 0.22 0.68 2.73 3.41 False 1 4
... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
723.44 13022 1356540.94 -4.47 86.78 274.00 58.04 172.78 723.44 0.82 171.82 172.63 False 27 13022
723.50 13023 1356541.00 -4.44 87.60 274.06 58.01 173.54 723.50 0.82 172.63 173.45 False 27 13023
723.56 13024 1356541.06 -4.40 88.42 274.11 57.97 174.31 723.56 0.82 173.45 174.27 False 27 13024
723.61 13025 1356541.11 -4.37 89.24 274.17 57.94 175.07 723.61 0.82 174.27 175.09 False 27 13025
723.67 13026 1356541.17 -4.33 90.06 274.22 57.91 175.84 723.67 0.82 175.09 NaN False 27 13026

13027 rows × 14 columns

Explore longitude diff at Full Moon between Moon and other Gruhas ¶

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Explore Relation of Full Moon to Maasa Names ¶

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  • Count the frequency of super moons by nakshatra for a given series of epochs

  • The epoch where nakshatras yielding maasa names have higher frequency is a candidate epoch for maasa names

  • Couple of candidate epoch are shown below most nakshatra maasa have higher than mean super moons

date step mean_all_naks mean_maasa_naks mean_not_maasa_naks num_maasas_above_mean_all num_not_maasas_above_mean_all match_metric
0 -01975 1 5.52 6.17 5.00 8 1 11.33
1 -01926 2 5.70 5.25 6.07 4 8 0.71
2 -01877 3 5.56 5.83 5.33 8 7 1.62
3 -01829 4 5.67 5.17 6.07 5 10 0.71
4 -01780 5 5.89 5.75 6.00 6 8 1.06
5 -01731 6 5.33 5.58 5.13 6 6 1.42
6 -01682 7 5.78 5.58 5.93 6 9 0.94
7 -01634 8 5.78 6.33 5.33 10 3 4.72
8 -01585 9 5.59 5.42 5.73 5 9 0.79
9 -01536 10 5.70 5.75 5.67 5 7 1.01
10 -01487 11 5.67 5.50 5.80 7 8 1.24
11 -01439 12 5.70 5.67 5.73 5 10 0.71
12 -01390 13 5.67 6.17 5.27 8 1 11.33
13 -01341 14 5.70 5.17 6.13 4 9 0.63
14 -01292 15 5.70 6.42 5.13 8 3 3.78
15 -01244 16 5.59 5.17 5.93 5 8 0.89
16 -01195 17 5.89 5.92 5.87 7 8 1.24
17 -01146 18 5.52 5.67 5.40 7 5 1.98
18 -01097 19 5.67 5.33 5.93 5 8 0.89
19 -01049 20 5.81 6.42 5.33 10 3 4.72

Mars and Moon Parvas ¶

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Eclipses

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Lunar Eclipse at Jaipur - Six in row¶

Jaipur - Sequence of 7 eclipses with second and or third solar , rest lunar, separated by 6 months


-1493-Apr-14
PT pg 99
  Date Body EclType Mag Days to
Next Eclipse
0 -1496-Nov-10 L P 1.0 176
1 -1495-May-05 L P 1.6 178
2 -1495-Oct-30 L T 2.2 178
3 -1494-Apr-25 L T 2.7 162
4 -1494-Oct-04 S p 0.1 14
5 -1494-Oct-19 L T 2.3 178
6 -1493-Apr-14 L P 1.3 176
7 -1493-Oct-08 L N 1.0 150

-1439-May-16
PT pg 99
  Date Body EclType Mag Days to
Next Eclipse
0 -1442-Dec-13 L P 1.0 176
1 -1441-Jun-07 L P 1.1 178
2 -1441-Dec-02 L T 2.2 178
3 -1440-May-27 L T 2.6 162
4 -1440-Nov-05 S p 0.4 14
5 -1440-Nov-20 L T 2.3 178
6 -1439-May-16 L P 1.7 162
7 -1439-Oct-26 S p 0.1 14

-1174-Feb-27
  Date Body EclType Mag Days to
Next Eclipse
0 -1177-Sep-25 L P 1.5 178
1 -1176-Mar-20 L T 2.7 178
2 -1176-Sep-14 L T 2.8 176
3 -1175-Mar-10 L P 1.7 162
4 -1175-Aug-19 S p 0.4 16
5 -1175-Sep-03 L P 1.7 176
6 -1174-Feb-27 L N 0.4 178
7 -1174-Aug-23 L N 0.4 148

-647-Oct-15
  Date Body EclType Mag Days to
Next Eclipse
0 -649-May-13 L P 1.3 176
1 -649-Nov-06 L P 1.6 178
2 -648-May-02 L T 2.7 176
3 -648-Oct-25 L T 2.8 164
4 -647-Apr-06 S p 0.1 14
5 -647-Apr-21 L P 1.7 178
6 -647-Oct-15 L P 1.6 146
7 -646-Mar-11 L N 0.3 30

-520-Nov-19
  Date Body EclType Mag Days to
Next Eclipse
0 -522-Jul-16 L P 1.6 178
1 -521-Jan-10 L T 2.8 176
2 -521-Jul-05 L T 2.8 178
3 -521-Dec-30 L P 1.6 162
4 -520-Jun-10 S p 0.8 14
5 -520-Jun-24 L P 1.4 148
6 -520-Nov-19 L N 0.1 192
7 -519-May-30 S p 0.0 162

-67-Mar-01
  Date Body EclType Mag Days to
Next Eclipse
0 -70-Apr-02 L P 1.6 176
1 -70-Sep-26 L P 1.7 178
2 -69-Mar-22 L T 2.7 176
3 -69-Sep-15 L T 2.8 164
4 -68-Feb-25 S p 0.8 190
5 -68-Sep-03 L P 1.5 180
6 -67-Mar-01 L N 0.1 176
7 -67-Aug-24 L N 0.3 148

-24-Apr-18
  Date Body EclType Mag Days to
Next Eclipse
0 -27-Nov-28 L P 1.7 176
1 -26-May-24 L T 2.3 178
2 -26-Nov-18 L T 2.8 178
3 -25-May-14 L T 2.0 162
4 -25-Oct-23 S p 0.6 14
5 -25-Nov-07 L P 1.5 164
6 -24-Apr-18 S p 0.2 14
7 -24-May-02 L N 0.7 178

-13-Mar-18
  Date Body EclType Mag Days to
Next Eclipse
0 -16-May-04 L P 1.2 176
1 -16-Oct-28 L P 1.6 178
2 -15-Apr-23 L T 2.6 176
3 -15-Oct-17 L T 2.8 164
4 -14-Mar-29 S p 0.5 190
5 -14-Oct-06 L P 1.7 164
6 -13-Mar-18 S p 0.3 16
7 -13-Apr-03 L N 0.3 176

Jaipur - Sequence of 7 eclipses with second and or third solar, rest lunars ( no six month constraint)


-1493-Apr-14
  Date Body EclType Mag Days to
Next Eclipse
0 -1496-Nov-10 L P 1.0 176
1 -1495-May-05 L P 1.6 178
2 -1495-Oct-30 L T 2.2 178
3 -1494-Apr-25 L T 2.7 162
4 -1494-Oct-04 S p 0.1 14
5 -1494-Oct-19 L T 2.3 178
6 -1493-Apr-14 L P 1.3 176
7 -1493-Oct-08 L N 1.0 150

-1439-May-16
  Date Body EclType Mag Days to
Next Eclipse
0 -1442-Dec-13 L P 1.0 176
1 -1441-Jun-07 L P 1.1 178
2 -1441-Dec-02 L T 2.2 178
3 -1440-May-27 L T 2.6 162
4 -1440-Nov-05 S p 0.4 14
5 -1440-Nov-20 L T 2.3 178
6 -1439-May-16 L P 1.7 162
7 -1439-Oct-26 S p 0.1 14

-1339-Dec-13
  Date Body EclType Mag Days to
Next Eclipse
0 -1343-Mar-07 L P 1.9 532
1 -1342-Aug-20 L T 2.7 178
2 -1341-Feb-14 L P 1.1 176
3 -1341-Aug-09 L P 1.4 518
4 -1339-Jan-08 S p 0.3 162
5 -1339-Jun-19 L T 2.3 176
6 -1339-Dec-13 L T 2.6 354
7 -1338-Dec-02 L P 1.3 150

-1250-Feb-28
  Date Body EclType Mag Days to
Next Eclipse
0 -1253-May-01 L P 1.3 178
1 -1253-Oct-25 L P 1.5 176
2 -1252-Apr-19 L T 2.7 178
3 -1252-Oct-13 L T 2.8 340
4 -1251-Sep-18 S p 0.7 14
5 -1251-Oct-02 L P 1.7 148
6 -1250-Feb-28 L N 0.3 14
7 -1250-Mar-14 S t 1.1 16

-1174-Feb-27
  Date Body EclType Mag Days to
Next Eclipse
0 -1177-Sep-25 L P 1.5 178
1 -1176-Mar-20 L T 2.7 178
2 -1176-Sep-14 L T 2.8 176
3 -1175-Mar-10 L P 1.7 162
4 -1175-Aug-19 S p 0.4 16
5 -1175-Sep-03 L P 1.7 176
6 -1174-Feb-27 L N 0.4 178
7 -1174-Aug-23 L N 0.4 148

-1095-Nov-17
  Date Body EclType Mag Days to
Next Eclipse
0 -1097-Jun-14 L P 1.7 178
1 -1097-Dec-09 L T 2.7 176
2 -1096-Jun-02 L T 2.6 178
3 -1096-Nov-27 L P 1.7 164
4 -1095-May-09 S p 0.1 14
5 -1095-May-23 L P 1.2 178
6 -1095-Nov-17 L N 0.4 324
7 -1094-Oct-07 L P 1.1 14

-1076-May-08
  Date Body EclType Mag Days to
Next Eclipse
0 -1079-Jun-24 L P 1.6 178
1 -1079-Dec-19 L T 2.7 176
2 -1078-Jun-14 L T 2.8 178
3 -1078-Dec-09 L P 1.7 162
4 -1077-May-20 S p 0.4 340
5 -1076-Apr-23 L P 1.0 14
6 -1076-May-08 S p 0.1 16
7 -1076-May-23 L N 0.1 500

-1030-Nov-17
  Date Body EclType Mag Days to
Next Eclipse
0 -1033-Dec-21 L P 1.4 178
1 -1032-Jun-15 L P 1.6 176
2 -1032-Dec-09 L T 2.6 178
3 -1031-Jun-04 L T 2.7 162
4 -1031-Nov-14 S p 0.1 14
5 -1031-Nov-28 L P 1.9 354
6 -1030-Nov-17 L N 0.7 164
7 -1029-Apr-29 S p 0.9 162

-918-May-16
  Date Body EclType Mag Days to
Next Eclipse
0 -921-Dec-13 L P 1.1 176
1 -920-Jun-07 L P 1.4 178
2 -920-Dec-01 L T 2.3 176
3 -919-May-27 L T 2.8 162
4 -919-Nov-05 S p 0.5 16
5 -919-Nov-21 L T 2.1 176
6 -918-May-16 L P 1.5 326
7 -917-Apr-07 L N 0.9 176

-769-Apr-20
  Date Body EclType Mag Days to
Next Eclipse
0 -773-Jul-31 L P 1.2 326
1 -772-Jun-21 L P 1.1 176
2 -772-Dec-14 L P 2.0 356
3 -771-Dec-04 L T 2.5 338
4 -770-Nov-08 S p 0.6 16
5 -770-Nov-23 L P 1.3 148
6 -769-Apr-20 L N 0.3 14
7 -769-May-05 S p 1.0 162

-707-Jan-25
  Date Body EclType Mag Days to
Next Eclipse
0 -710-Feb-27 L P 1.9 176
1 -710-Aug-23 L P 1.8 178
2 -709-Feb-16 L T 2.6 354
3 -708-Feb-06 L P 1.3 162
4 -708-Jul-17 S p 0.2 16
5 -708-Aug-01 L P 1.1 176
6 -707-Jan-25 L N 0.1 148
7 -707-Jun-22 L N 0.8 178

-647-Oct-15
  Date Body EclType Mag Days to
Next Eclipse
0 -649-May-13 L P 1.3 176
1 -649-Nov-06 L P 1.6 178
2 -648-May-02 L T 2.7 176
3 -648-Oct-25 L T 2.8 164
4 -647-Apr-06 S p 0.1 14
5 -647-Apr-21 L P 1.7 178
6 -647-Oct-15 L P 1.6 146
7 -646-Mar-11 L N 0.3 30

-520-Nov-19
  Date Body EclType Mag Days to
Next Eclipse
0 -522-Jul-16 L P 1.6 178
1 -521-Jan-10 L T 2.8 176
2 -521-Jul-05 L T 2.8 178
3 -521-Dec-30 L P 1.6 162
4 -520-Jun-10 S p 0.8 14
5 -520-Jun-24 L P 1.4 148
6 -520-Nov-19 L N 0.1 192
7 -519-May-30 S p 0.0 162

-490-Oct-19
  Date Body EclType Mag Days to
Next Eclipse
0 -493-Jan-01 L P 1.5 530
1 -492-Jun-14 L T 2.6 178
2 -492-Dec-09 L P 1.7 178
3 -491-Jun-04 L P 1.3 162
4 -491-Nov-14 S p 1.0 162
5 -490-Apr-25 L P 1.1 178
6 -490-Oct-19 L P 1.2 178
7 -489-Apr-15 L T 2.5 14

-226-Mar-03
  Date Body EclType Mag Days to
Next Eclipse
0 -229-Apr-19 L P 1.7 178
1 -229-Oct-14 L P 2.0 354
2 -228-Oct-02 L T 2.5 178
3 -227-Mar-29 L P 1.2 162
4 -227-Sep-07 S p 0.9 14
5 -227-Sep-21 L P 1.2 162
6 -226-Mar-03 S p 0.1 340
7 -225-Feb-06 L T 2.3 178

-219-Apr-28
  Date Body EclType Mag Days to
Next Eclipse
0 -222-Jun-01 L P 1.4 176
1 -222-Nov-25 L T 2.1 178
2 -221-May-21 L T 2.8 176
3 -221-Nov-14 L T 2.4 164
4 -220-Apr-25 S p 0.5 192
5 -220-Nov-03 L P 1.1 176
6 -219-Apr-28 L N 0.2 326
7 -218-Mar-20 L T 2.1 354

-110-May-24
  Date Body EclType Mag Days to
Next Eclipse
0 -113-Jul-24 L P 1.9 178
1 -112-Jan-18 L T 2.4 176
2 -112-Jul-13 L T 2.4 178
3 -111-Jan-07 L P 1.1 162
4 -111-Jun-18 S p 0.9 14
5 -111-Jul-02 L P 1.1 326
6 -110-May-24 L P 1.3 176
7 -110-Nov-16 L P 1.7 178

-67-Mar-01
  Date Body EclType Mag Days to
Next Eclipse
0 -70-Apr-02 L P 1.6 176
1 -70-Sep-26 L P 1.7 178
2 -69-Mar-22 L T 2.7 176
3 -69-Sep-15 L T 2.8 164
4 -68-Feb-25 S p 0.8 190
5 -68-Sep-03 L P 1.5 180
6 -67-Mar-01 L N 0.1 176
7 -67-Aug-24 L N 0.3 148

-24-Apr-18
  Date Body EclType Mag Days to
Next Eclipse
0 -27-Nov-28 L P 1.7 176
1 -26-May-24 L T 2.3 178
2 -26-Nov-18 L T 2.8 178
3 -25-May-14 L T 2.0 162
4 -25-Oct-23 S p 0.6 14
5 -25-Nov-07 L P 1.5 164
6 -24-Apr-18 S p 0.2 14
7 -24-May-02 L N 0.7 178

-13-Mar-18
  Date Body EclType Mag Days to
Next Eclipse
0 -16-May-04 L P 1.2 176
1 -16-Oct-28 L P 1.6 178
2 -15-Apr-23 L T 2.6 176
3 -15-Oct-17 L T 2.8 164
4 -14-Mar-29 S p 0.5 190
5 -14-Oct-06 L P 1.7 164
6 -13-Mar-18 S p 0.3 16
7 -13-Apr-03 L N 0.3 176
DaysSince Date jd Body EclType Mag ecl_type ecl_str month6_pattern month6_sum days_to_next_eclipse d2next d2prev
67 1388 -1463-Aug-23 1186944.00 S a 0.93 2 PPTTNNa 1111010 5 30.00 14 16
171 1388 -1409-Sep-25 1206700.00 S p 0.80 4 PTTPNNp 1111010 5 30.00 14 16
285 532 -1351-Aug-15 1227844.00 S p 0.25 4 TpPPNNp 1011110 5 30.00 16 14
477 176 -1250-Mar-14 1264578.00 S t 1.05 6 PTTpPNt 1110011 5 30.00 14 16
550 178 -1217-Jun-06 1276716.00 S p 0.35 4 TTpNpPp 1100111 5 30.00 16 14
... ... ... ... ... ... ... ... ... ... ... ... ... ...
8537 178 2787-Apr-10 2739090.00 S p 0.67 4 TTPpPNp 0110111 5 30.00 16 14
8567 678 2801-Jul-02 2744286.00 S p 0.36 4 PTpTPNp 1101010 4 30.00 14 16
8638 354 2834-Mar-31 2756246.00 S p 0.49 4 pTTpPNp 0110010 3 30.00 14 16
8748 354 2888-May-02 2776002.00 S p 0.69 4 pTTpPNp 0010010 2 30.00 14 16
8756 1388 2892-Feb-19 2777390.00 S p 0.32 4 NTTPPNp 1011110 5 28.00 14 14

89 rows × 13 columns

Eclipse Triples analysis ¶

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Sundial ¶

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Let $$A = altitude ; L = latitude; D = declination$$

$$altitude' = \arctan \frac {\sin (A) \cos ( L )} { \sqrt {1 - (\sin(A)\cos(L))^2 } + {\sin(D)}} $$$$azimuth' = \arcsin \frac {\sin (A) \sin (L) + \sin(D) } { \sqrt {1 - (\sin(A)\cos(L))^2} + {\sin(D)}} $$

¶

$$ shadow\_length = {shanku\_height} * {\tan(altitude')} $$$$ shadow\_angle = azimuth'$$
  a l d shadow_length shadow_angle shadow_x shadow_y eff_alt eff_azi x y z x00 xy0 xyz
0 0.1963495 0.1047198 -0.1047198 5.0735972 175.0969257 -5.0550315 0.4336423 0.1946044 -0.0855748 0.9807853 -0.0841360 0.1940216 0.9807853 0.9843874 1.0033260
1 0.3926991 0.1047198 -0.1047198 2.4334254 176.0047396 -2.4275117 0.1695464 0.3899046 -0.0697304 0.9238795 -0.0645272 0.3805871 0.9238795 0.9261302 1.0012810
2 0.5890486 0.1047198 -0.1047198 1.5071965 176.8021163 -1.5048495 0.0840784 0.5857956 -0.0558136 0.8314696 -0.0464556 0.5525268 0.8314696 0.8327664 0.9993926
3 0.7853982 0.1047198 -0.1047198 1.0064503 177.5208069 -1.0055083 0.0435356 0.7821834 -0.0432701 0.7071068 -0.0306157 0.7032332 0.7071068 0.7077693 0.9977345
4 0.9817477 0.1047198 -0.1047198 0.6721968 178.1838531 -0.6718592 0.0213036 0.9789749 -0.0316977 0.5555702 -0.0176162 0.8269147 0.5555702 0.5558495 0.9963717
5 1.1780972 0.1047198 -0.1047198 0.4165852 178.8088775 -0.4164952 0.0086598 1.1760746 -0.0207890 0.3826834 -0.0079568 0.9188184 0.3826834 0.3827661 0.9953578
6 1.3744468 0.1047198 -0.1047198 0.2000186 179.4101519 -0.2000080 0.0020591 1.3733829 -0.0102948 0.1950903 -0.0020085 0.9754124 0.1950903 0.1951007 0.9947330
7 1.5707963 0.1047198 -0.1047198 0.0000000 180.0000000 -0.0000000 0.0000000 1.5707963 -0.0000000 0.0000000 0.0000000 0.9945219 0.0000000 0.0000000 0.9945219
8 1.7671459 0.1047198 -0.1047198 0.2000186 0.5898481 0.2000080 0.0020591 1.3733829 -3.1312979 -0.1950903 -0.0020085 0.9754124 -0.1950903 0.1951007 0.9947330
9 1.9634954 0.1047198 -0.1047198 0.4165852 1.1911225 0.4164952 0.0086598 1.1760746 -3.1208036 -0.3826834 -0.0079568 0.9188184 -0.3826834 0.3827661 0.9953578
10 2.1598449 0.1047198 -0.1047198 0.6721968 1.8161469 0.6718592 0.0213036 0.9789749 -3.1098949 -0.5555702 -0.0176162 0.8269147 -0.5555702 0.5558495 0.9963717
11 2.3561945 0.1047198 -0.1047198 1.0064503 2.4791931 1.0055083 0.0435356 0.7821834 -3.0983226 -0.7071068 -0.0306157 0.7032332 -0.7071068 0.7077693 0.9977345
12 2.5525440 0.1047198 -0.1047198 1.5071965 3.1978837 1.5048495 0.0840784 0.5857956 -3.0857791 -0.8314696 -0.0464556 0.5525268 -0.8314696 0.8327664 0.9993926
13 2.7488936 0.1047198 -0.1047198 2.4334254 3.9952604 2.4275117 0.1695464 0.3899046 -3.0718622 -0.9238795 -0.0645272 0.3805871 -0.9238795 0.9261302 1.0012810
14 2.9452431 0.1047198 -0.1047198 5.0735972 4.9030743 5.0550315 0.4336423 0.1946044 -3.0560179 -0.9807853 -0.0841360 0.1940216 -0.9807853 0.9843874 1.0033260

Kausitiki Brahmana Punarvasu ¶

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१.३ पुनराधेयकालः 1.3 Reassessment Period
तद् आहुः कस्मिन्न् ऋतौ पुनर् आदधीत इति । That is called in what season he should start again.
वर्षास्व् इति ह एक आहुः । Varshasv is one of them.
वर्षासु वै सर्वे कामाः । All desires are fulfilled in the years.
सर्वेषाम् एव कामानाम् आप्त्यै । To attain all desires.
मध्या वर्षे पुनर्वसू नक्षत्रम् उदीक्ष्य पुनर् आदधीत । In the middle of the year, one should observe the constellation Punarvasu and start it again.
पुनर् मा वसु वित्तम् उपनमत्व् इति । Again, let not the wealth be subdued.
अथो पुनः कामस्य उपाप्त्यै । Then again, to attain desire.
तद् वै न तस्मिन् काले पूर्व पक्षे पुनर्वसुभ्याम् सम्पद्यते । That is not the case with the Punarvasu in the previous wing at that time.
या एव एषा आषाढ्या उपरिष्टाद् अमावास्या भवति । This is the same Ashadhi which is the new moon above.
तस्याम् पुनर् आदधीत । Put it back in her.
सा पुनर्वसुभ्याम् सम्पद्यते । She is attained by the Punarvasu.
उपाप्तो अमावास्यायाम् कामो भवति । When the new moon is attained, desire is fulfilled.
उपाप्तो वर्षासु । Upapto in the years.
उपाप्तः पुनर्वस्योः । Upaptaḥ punarvasyoḥ.
तस्मात् तस्याम् पुनर् आदधीत । Therefore, he should read it again.
पञ्च कपालः पुरोडाशो भवति । The five skulls are the Purodas.
पञ्च पदा पङ्क्तिः । Five-foot row.
पाङ्क्तो वै यज्ञो यज्ञस्य एव आप्त्यै । Kankta is the sacrifice for the attainment of the sacrifice itself.
************ ************
१९.३ दीक्षाकालः 19.3 Initiation Period
स वै माघस्य अमावास्यायाम् उपवसत्य् उदन्न् आवर्त्स्यन् । He is the one who sits on the new moon of the month of Magha and turns around in the rising sun.
उप इमे वसन्ति । Up these live.
प्रायणीयेन अतिरात्रेण यक्ष्यमाणाः । They are being sacrificed by the Prayaniya Atiratra.
तद् एनम् प्रथमम् आप्नुवन्ति । That’s what they get first.
तम् चतुर्विंशेन आरभन्ते । They start him with twenty-four.
तद् आरम्भणीयस्य आरम्भणीयत्वम् । That is the beginning of the beginning.
स षण् मासान् उदन्न् एति । He is six months old.
तम् ऊर्ध्वैः षडहैर् अनुयन्ति । They follow him with six upwards.
स षण् मासान् उदन्नित्वा तिष्ठते दक्षिणा आवर्त्स्यन् । He remains there for six months, turning the south.
उप इमे वसन्ति वैषुवतीयेन अह्ना यक्ष्यमाणाः । These dwell upon the equinox, and are sacrificed by the day.
तद् एनम् द्वितीयम् आप्नुवन्ति । That’s what they get this second.
स षण् मासान् दक्षिणा एति । He comes to the south for six months.
तम् आवृत्तैः षडहैर् अनुयन्ति । They follow him with six rounded horses.
स षण् मासान् दक्षिणेत्वा तिष्ठत उदन्न् आवर्त्स्यन् । He went to the south and stayed there for six months, turning to the north.
उप इमे वसन्ति माहाव्रतीयेन अह्ना यक्ष्यमाणाः । Up these dwell, who are sacrificed by the great vow-keeper.
तद् एनम् तृतीयम् आप्नुवन्ति । That’s what they get this third.
तम् यत् त्रिर् आप्नुवन्ति । That which the three obtain.
त्रेधा विहितो वै संवत्सरः । The year is divided into three parts.
संवत्सरस्य एव आप्त्यै । To obtain the year itself.
तद् उत एषा अभिगीयते । That’s what this is sung about.
अहोरात्राणि विदधद् ऊर्णाका इव धीर्यः । He spent days and nights, as patient as a spider.
षण् मासो दक्षिणा आदित्यः षड् उदन्न् एति सूर्य इति । The six months are the southern sun, and the sixth is the rising sun.
षड्ड् ह्य् एष मासान् उदन्न् एति । He’s been rising for six months.
षड् दक्षिणा । Six alms. 
52418 pakshas found from -2500 BCE to -381 CE

Poornima

counts by moon-nakshatra in 50 year bands
for sun-lon between 80 and 90 degrees
moon_न N21-UAsh N22-Shr N23-Dha
year_band      
(-900, -850] 0 14 3
(-850, -800] 0 16 2
(-800, -750] 0 14 2
(-750, -700] 0 17 0
(-700, -650] 1 15 1
(-650, -600] 0 18 0
(-600, -550] 1 16 1

Amavasya

counts by moon-nakshatra in 50 year bands
for sun-lon between 80 and 90 degrees
moon_न N07-Pun N08-Pus N09-Asl
year_band      
(-900, -850] 4 12 2
(-850, -800] 3 13 2
(-800, -750] 7 7 3
(-750, -700] 6 11 2
(-700, -650] 5 11 0
(-650, -600] 11 9 0
(-600, -550] 11 6 0
Poornima
  jd date yr season rtu sun_lon sun_naks moon_lat moon_lon moon_naks moon_phase moon_sun_diff sun_न moon_न
0 1478709.25 -664-06-19 -664 2 R2-grīṣma 86.47 N08-Pus/δ Cnc 4.80 267.01 N22-Shr/β Aql 1 179 N08-Pus N22-Shr
1 1479447.25 -662-06-27 -662 3 R3-varṣā 93.66 N09-Asl/δ Hya 2.06 277.22 N23-Dha/β Del 1 176 N09-Asl N23-Dha
2 1479801.25 -661-06-16 -661 2 R2-grīṣma 82.91 N07-Pun/β Gem 1.74 262.30 N22-Shr/α Aql 1 179 N07-Pun N22-Shr
3 1480540.25 -659-06-24 -659 3 R3-varṣā 91.05 N08-Pus/δ Cnc -2.67 275.48 N23-Dha/β Del 1 175 N08-Pus N23-Dha
4 1480894.25 -658-06-13 -658 2 R2-grīṣma 80.31 N07-Pun/β Gem -2.49 255.03 N21-UAsh/τ Sgr 1 174 N07-Pun N21-UAsh
5 1481278.25 -657-07-02 -657 3 R3-varṣā 98.26 N09-Asl/ζ Hya -4.66 274.04 N23-Dha/β Del 1 175 N09-Asl N23-Dha
6 1481633.25 -656-06-21 -656 2 R2-grīṣma 88.45 N08-Pus/δ Cnc -4.97 272.11 N22-Shr/β Aql 1 176 N08-Pus N22-Shr
7 1482370.25 -654-06-28 -654 3 R3-varṣā 94.69 N09-Asl/σ Hya -4.21 270.06 N22-Shr/β Aql 1 175 N09-Asl N22-Shr
8 1482725.25 -653-06-18 -653 2 R2-grīṣma 84.89 N08-Pus/δ Cnc -3.06 270.04 N22-Shr/β Aql 1 174 N08-Pus N22-Shr
9 1483463.25 -651-06-25 -651 3 R3-varṣā 92.08 N08-Pus/δ Cnc 0.31 272.31 N22-Shr/β Aql 1 179 N08-Pus N22-Shr
Amavasya
  jd date yr season rtu sun_lon sun_naks moon_lat moon_lon moon_naks moon_phase moon_sun_diff sun_न moon_न
0 1479078.75 -663-06-24 -663 3 R3-varṣā 90.54 N08-Pus/δ Cnc -3.48 97.24 N09-Asl/ζ Hya 0 6 N08-Pus N09-Asl
1 1479816.75 -661-07-02 -661 3 R3-varṣā 97.75 N09-Asl/ζ Hya -0.46 96.76 N09-Asl/ρ Hya 0 0 N09-Asl N09-Asl
2 1480170.75 -660-06-20 -660 2 R2-grīṣma 86.98 N08-Pus/δ Cnc 0.01 83.22 N07-Pun/β Gem 0 3 N08-Pus N07-Pun
3 1480908.75 -658-06-28 -658 3 R3-varṣā 94.18 N09-Asl/σ Hya 3.78 93.48 N09-Asl/δ Hya 0 0 N09-Asl N09-Asl
4 1481262.75 -657-06-17 -657 2 R2-grīṣma 83.42 N07-Pun/β Gem 4.03 79.65 N07-Pun/β Gem 0 3 N07-Pun N07-Pun
5 1482001.75 -655-06-25 -655 3 R3-varṣā 91.57 N08-Pus/δ Cnc 4.78 94.10 N09-Asl/δ Hya 0 2 N08-Pus N09-Asl
6 1482356.75 -654-06-15 -654 2 R2-grīṣma 81.78 N07-Pun/β Gem 4.31 88.27 N08-Pus/δ Cnc 0 6 N07-Pun N08-Pus
7 1482739.75 -653-07-03 -653 3 R3-varṣā 98.77 N09-Asl/ζ Hya 2.94 91.89 N08-Pus/δ Cnc 0 6 N09-Asl N08-Pus
8 1483094.75 -652-06-22 -652 2 R2-grīṣma 88.96 N08-Pus/δ Cnc 1.63 89.13 N08-Pus/δ Cnc 0 0 N08-Pus N08-Pus
jd date yr season rtu sun_lon sun_naks moon_lat moon_lon moon_naks moon_phase moon_sun_diff sun_न moon_न jd_diff
0 808306.25 -2500-12-19 -2500 5 R5-hemanta 268.43 N24-Sha/λ Aqr 4.76 91.74 N10-Mag/α Leo 1 176 N24-Sha N10-Mag 354.00
1 808660.25 -2499-12-08 -2499 5 R5-hemanta 257.12 N23-Dha/γ2 Del 4.90 80.61 N10-Mag/μ Leo 1 176 N23-Dha N10-Mag 738.00
2 809398.25 -2497-12-16 -2497 5 R5-hemanta 264.69 N23-Dha/γ2 Del 4.16 85.98 N10-Mag/η Leo 1 178 N23-Dha N10-Mag 355.00
3 809753.25 -2496-12-05 -2496 5 R5-hemanta 254.36 N23-Dha/β Del 3.38 81.25 N10-Mag/μ Leo 1 173 N23-Dha N10-Mag 738.00
4 810491.25 -2494-12-13 -2494 5 R5-hemanta 261.94 N23-Dha/γ2 Del 0.54 78.89 N10-Mag/ε Leo 1 176 N23-Dha N10-Mag 355.00
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
1253 1579733.25 -387-01-22 -387 6 R6-śiśira 303.29 N24-Sha/λ Aqr -5.00 117.35 N10-Mag/α Leo 1 174 N24-Sha N10-Mag 355.00
1254 1580088.25 -386-01-12 -386 6 R6-śiśira 292.99 N23-Dha/γ2 Del -4.87 113.69 N10-Mag/ζ Leo 1 179 N23-Dha N10-Mag 738.00
1255 1580826.25 -384-01-20 -384 6 R6-śiśira 300.56 N24-Sha/λ Aqr -2.61 121.12 N10-Mag/α Leo 1 179 N24-Sha N10-Mag 354.00
1256 1581180.25 -383-01-08 -383 6 R6-śiśira 289.23 N23-Dha/γ2 Del -2.05 110.03 N10-Mag/μ Leo 1 179 N23-Dha N10-Mag 738.00
1257 1581918.25 -381-01-16 -381 6 R6-śiśira 296.81 N23-Dha/γ2 Del 1.81 115.81 N10-Mag/γ Leo 1 178 N23-Dha N10-Mag NaN

1258 rows × 15 columns

(93, 20)

Sun near Equinox, FM near Krittika or Visakhe.

Adjacent events are colored
  jd date yr season rtu sun_lon sun_naks moon_lat moon_lon moon_naks moon_phase moon_sun_diff sun_न moon_न kv_flip jd_diff_prev jd_diff_next fm_adj
0 812410.2 -2488-03-15 -2488 1 R1-vasanta 352.8 N03-Kri/* 17 Tau 0.5 169.7 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 nan 4932.0 0
1 817342.2 -2475-09-15 -2475 4 R4-śarat 171.7 N16-Vis/α2 Lib 5.0 356.0 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 4932.0 4931.0 0
2 822273.2 -2461-03-17 -2461 1 R1-vasanta 354.2 N03-Kri/* 17 Tau 1.0 170.2 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 4931.0 4016.0 0
3 826289.2 -2450-03-15 -2450 1 R1-vasanta 352.6 N03-Kri/* 17 Tau 1.7 168.2 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 4016.0 4932.0 0
4 831221.2 -2437-09-15 -2437 4 R4-śarat 171.4 N16-Vis/α2 Lib 4.8 354.7 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 1 4932.0 2008.0 0
5 833229.2 -2431-03-15 -2431 1 R1-vasanta 353.0 N03-Kri/* 17 Tau 2.4 168.9 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 2008.0 4932.0 0
6 838161.2 -2418-09-15 -2418 4 R4-śarat 171.8 N16-Vis/α2 Lib 4.5 355.5 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 1 4932.0 2008.0 0
7 840169.2 -2412-03-15 -2412 1 R1-vasanta 353.4 N03-Kri/* 17 Tau 2.9 169.0 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 2008.0 4932.0 0
8 845101.2 -2399-09-15 -2399 4 R4-śarat 172.2 N16-Vis/α2 Lib 4.2 355.7 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 1 4932.0 2008.0 0
9 847109.2 -2393-03-16 -2393 1 R1-vasanta 353.8 N03-Kri/* 17 Tau 3.6 171.5 N16-Vis/α2 Lib 1 177 N03-Kri N16-Vis 1 2008.0 9863.0 0
10 856972.2 -2366-03-17 -2366 1 R1-vasanta 355.2 N03-Kri/* 17 Tau -2.3 170.6 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 0 9863.0 4016.0 0
11 860988.2 -2355-03-15 -2355 1 R1-vasanta 353.6 N03-Kri/* 17 Tau 4.4 173.3 N16-Vis/α2 Lib 1 179 N03-Kri N16-Vis 1 4016.0 2008.0 0
12 862996.2 -2350-09-13 -2350 4 R4-śarat 170.3 N16-Vis/α2 Lib -0.9 354.7 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 2008.0 7855.0 0
13 870851.2 -2328-03-16 -2328 1 R1-vasanta 355.0 N03-Kri/* 17 Tau -3.5 173.6 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 1 7855.0 2008.0 0
14 872859.2 -2323-09-14 -2323 4 R4-śarat 171.8 N16-Vis/α2 Lib 2.4 354.1 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 1 2008.0 6940.0 0
15 879799.2 -2304-09-14 -2304 4 R4-śarat 172.2 N16-Vis/α2 Lib 1.5 357.3 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 1 6940.0 915.0 0
16 880714.2 -2301-03-18 -2301 1 R1-vasanta 356.4 N03-Kri/* 17 Tau 2.2 173.6 N16-Vis/α2 Lib 1 177 N03-Kri N16-Vis 1 915.0 33606.0 0
17 914320.2 -2209-03-22 -2209 1 R1-vasanta 0.1 N03-Kri/* 17 Tau 0.6 173.6 N16-Vis/α2 Lib 1 173 N03-Kri N16-Vis 0 33606.0 6940.0 0
18 921260.2 -2190-03-23 -2190 1 R1-vasanta 0.4 N03-Kri/* 17 Tau 1.3 174.8 N16-Vis/α2 Lib 1 174 N03-Kri N16-Vis 1 6940.0 7117.0 0
19 928377.2 -2171-09-16 -2171 4 R4-śarat 172.9 N16-Vis/α2 Lib -3.0 -0.3 N03-Kri/* 17 Tau 1 173 N16-Vis N03-Kri 1 7117.0 20641.0 0
20 949018.2 -2114-03-22 -2114 1 R1-vasanta 0.1 N03-Kri/* 17 Tau 3.5 174.7 N16-Vis/α2 Lib 1 174 N03-Kri N16-Vis 1 20641.0 6940.0 0
21 955958.2 -2095-03-23 -2095 1 R1-vasanta 0.5 N03-Kri/* 17 Tau 4.1 176.0 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 0 6940.0 6940.0 0
22 962898.2 -2076-03-23 -2076 1 R1-vasanta 0.9 N03-Kri/* 17 Tau 4.4 175.9 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 0 6940.0 6940.0 0
23 969838.2 -2057-03-24 -2057 1 R1-vasanta 1.3 N03-Kri/* 17 Tau 4.7 177.6 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 6940.0 177.0 1
24 970015.2 -2057-09-17 -2057 4 R4-śarat 173.2 N16-Vis/α2 Lib -4.9 0.1 N03-Kri/* 17 Tau 1 173 N16-Vis N03-Kri 1 177.0 13702.0 1
25 983717.2 -2019-03-23 -2019 1 R1-vasanta 1.1 N03-Kri/* 17 Tau 5.0 178.3 N16-Vis/α2 Lib 1 177 N03-Kri N16-Vis 1 13702.0 13879.0 0
26 997596.2 -1981-03-23 -1981 1 R1-vasanta 0.9 N03-Kri/* 17 Tau 4.9 177.6 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 0 13879.0 6940.0 0
27 1004536.2 -1962-03-23 -1962 1 R1-vasanta 1.3 N03-Kri/* 17 Tau 4.8 178.5 N16-Vis/α2 Lib 1 177 N03-Kri N16-Vis 0 6940.0 6940.0 0
28 1011476.2 -1943-03-23 -1943 1 R1-vasanta 1.7 N03-Kri/* 17 Tau 4.5 178.6 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 6940.0 16980.0 0
29 1028456.2 -1897-09-19 -1897 4 R4-śarat 175.5 N16-Vis/α2 Lib 4.4 1.1 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 1 16980.0 6940.0 0
30 1035396.2 -1878-09-19 -1878 4 R4-śarat 175.8 N16-Vis/α2 Lib 4.1 1.7 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 1 6940.0 3838.0 0
31 1039234.2 -1867-03-23 -1867 1 R1-vasanta 1.3 N03-Kri/* 17 Tau 2.9 176.8 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 3838.0 3102.0 0
32 1042336.2 -1859-09-19 -1859 4 R4-śarat 176.2 N16-Vis/α2 Lib 3.6 2.0 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 1 3102.0 3838.0 0
33 1046174.2 -1848-03-23 -1848 1 R1-vasanta 1.7 N03-Kri/* 17 Tau 2.0 180.2 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 1 3838.0 6940.0 0
34 1053114.2 -1829-03-24 -1829 1 R1-vasanta 2.1 N03-Kri/* 17 Tau 1.4 180.8 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 0 6940.0 10956.0 0
35 1064070.2 -1799-03-23 -1799 1 R1-vasanta 0.9 N03-Kri/* 17 Tau 1.7 177.1 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 10956.0 6024.0 0
36 1070094.2 -1783-09-19 -1783 4 R4-śarat 175.8 N16-Vis/α2 Lib 1.5 0.8 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 6024.0 7855.0 0
37 1077949.2 -1761-03-23 -1761 1 R1-vasanta 0.7 N03-Kri/* 17 Tau 3.1 180.4 N16-Vis/α2 Lib 1 179 N03-Kri N16-Vis 1 7855.0 17718.0 0
38 1095667.2 -1713-09-25 -1713 4 R4-śarat 181.9 N16-Vis/α2 Lib 4.8 -0.2 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 1 17718.0 6940.0 0
39 1102607.2 -1694-09-26 -1694 4 R4-śarat 182.3 N16-Vis/α2 Lib 5.0 4.6 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 1 6940.0 178.0 1
40 1102785.2 -1693-03-23 -1693 1 R1-vasanta 0.3 N03-Kri/* 17 Tau -5.0 180.8 N16-Vis/α2 Lib 1 179 N03-Kri N16-Vis 1 178.0 2923.0 1
41 1105708.2 -1685-03-24 -1685 1 R1-vasanta 1.4 N03-Kri/* 17 Tau 4.4 174.4 N16-Vis/α2 Lib 1 173 N03-Kri N16-Vis 1 2923.0 3839.0 0
42 1109547.2 -1675-09-26 -1675 4 R4-śarat 182.7 N16-Vis/α2 Lib 5.0 6.3 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 1 3839.0 3101.0 0
43 1112648.2 -1666-03-24 -1666 1 R1-vasanta 1.7 N03-Kri/* 17 Tau 4.9 180.7 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 1 3101.0 3839.0 0
44 1116487.2 -1656-09-26 -1656 4 R4-śarat 183.1 N16-Vis/α2 Lib 4.9 6.3 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 1 3839.0 3100.0 0
45 1119587.2 -1647-03-23 -1647 1 R1-vasanta 1.2 N03-Kri/* 17 Tau 4.9 176.8 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 3100.0 3840.0 0
46 1123427.2 -1637-09-27 -1637 4 R4-śarat 183.5 N16-Vis/α2 Lib 4.6 7.8 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 3840.0 13879.0 0
47 1137306.2 -1599-09-26 -1599 4 R4-śarat 183.3 N16-Vis/α2 Lib 3.9 8.0 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 13879.0 177.0 1
48 1137483.2 -1598-03-22 -1598 1 R1-vasanta 0.4 N03-Kri/* 17 Tau -4.0 176.8 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 177.0 6762.0 1
49 1144245.2 -1580-09-25 -1580 4 R4-śarat 182.6 N16-Vis/α2 Lib 3.7 3.3 N03-Kri/* 17 Tau 1 179 N16-Vis N03-Kri 1 6762.0 178.0 1
50 1144423.2 -1579-03-22 -1579 1 R1-vasanta 0.8 N03-Kri/* 17 Tau -3.4 178.9 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 1 178.0 6762.0 1
51 1151185.2 -1561-09-26 -1561 4 R4-śarat 183.0 N16-Vis/α2 Lib 3.0 7.6 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 6762.0 178.0 1
52 1151363.2 -1560-03-22 -1560 1 R1-vasanta 1.1 N03-Kri/* 17 Tau -2.5 184.3 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 178.0 737.0 1
53 1152100.2 -1558-03-29 -1558 1 R1-vasanta 7.4 N03-Kri/* 17 Tau 0.6 182.3 N16-Vis/α2 Lib 1 174 N03-Kri N16-Vis 1 737.0 2008.0 0
54 1154108.2 -1553-09-27 -1553 4 R4-śarat 184.1 N16-Vis/α2 Lib -4.6 2.4 N03-Kri/* 17 Tau 1 178 N16-Vis N03-Kri 1 2008.0 355.0 1
55 1154463.2 -1552-09-16 -1552 4 R4-śarat 173.7 N16-Vis/α1 Lib -3.9 -0.7 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 0 355.0 3662.0 1
56 1158125.2 -1542-09-26 -1542 4 R4-śarat 183.4 N16-Vis/α2 Lib 2.3 8.8 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 1 3662.0 177.0 1
57 1158302.2 -1541-03-22 -1541 1 R1-vasanta 0.6 N03-Kri/* 17 Tau -2.3 180.2 N16-Vis/α2 Lib 1 179 N03-Kri N16-Vis 1 177.0 2746.0 1
58 1161048.2 -1534-09-27 -1534 4 R4-śarat 184.5 N16-Vis/α2 Lib -4.2 5.2 N03-Kri/* 17 Tau 1 179 N16-Vis N03-Kri 1 2746.0 178.0 1
59 1161226.2 -1533-03-24 -1533 1 R1-vasanta 2.5 N03-Kri/* 17 Tau 3.7 184.5 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 1 178.0 3839.0 1
60 1165065.2 -1523-09-26 -1523 4 R4-śarat 183.8 N16-Vis/α2 Lib 1.8 8.8 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 3839.0 2923.0 0
61 1167988.2 -1515-09-27 -1515 4 R4-śarat 184.9 N16-Vis/α2 Lib -3.8 5.5 N03-Kri/* 17 Tau 1 179 N16-Vis N03-Kri 1 2923.0 177.0 1
62 1168165.2 -1514-03-23 -1514 1 R1-vasanta 2.0 N03-Kri/* 17 Tau 3.5 180.6 N16-Vis/α2 Lib 1 178 N03-Kri N16-Vis 1 177.0 4016.0 1
63 1172181.2 -1503-03-21 -1503 1 R1-vasanta 0.4 N03-Kri/* 17 Tau -1.2 178.4 N16-Vis/α2 Lib 1 177 N03-Kri N16-Vis 1 4016.0 2747.0 0
64 1174928.2 -1496-09-28 -1496 4 R4-śarat 185.3 N16-Vis/α2 Lib -3.3 6.1 N03-Kri/* 17 Tau 1 179 N16-Vis N03-Kri 1 2747.0 6940.0 0
65 1181868.2 -1477-09-29 -1477 4 R4-śarat 185.7 N16-Vis/α2 Lib -2.5 9.5 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 0 6940.0 10955.0 0
66 1192823.2 -1447-09-26 -1447 4 R4-śarat 183.4 N16-Vis/α2 Lib -0.6 6.4 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 0 10955.0 6940.0 0
67 1199763.2 -1428-09-26 -1428 4 R4-śarat 183.8 N16-Vis/α2 Lib -1.6 10.1 N03-Kri/* 17 Tau 1 173 N16-Vis N03-Kri 1 6940.0 915.0 0
68 1200678.2 -1425-03-30 -1425 1 R1-vasanta 8.2 N03-Kri/* 17 Tau 4.4 185.7 N16-Vis/α2 Lib 1 177 N03-Kri N16-Vis 1 915.0 6025.0 0
69 1206703.2 -1409-09-27 -1409 4 R4-śarat 184.2 N16-Vis/α2 Lib -2.3 10.9 N03-Kri/* 17 Tau 1 173 N16-Vis N03-Kri 1 6025.0 2923.0 0
70 1209626.2 -1401-09-28 -1401 4 R4-śarat 185.2 N16-Vis/α2 Lib -0.1 7.6 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 1 2923.0 915.0 0
71 1210541.2 -1398-04-01 -1398 1 R1-vasanta 9.6 N03-Kri/* 17 Tau -3.5 185.4 N16-Vis/α2 Lib 1 175 N03-Kri N16-Vis 1 915.0 1093.0 0
72 1211634.2 -1395-03-29 -1395 1 R1-vasanta 7.0 N03-Kri/* 17 Tau -5.0 181.3 N16-Vis/α2 Lib 1 174 N03-Kri N16-Vis 1 1093.0 2009.0 0
73 1213643.2 -1390-09-28 -1390 4 R4-śarat 184.6 N16-Vis/α2 Lib -2.8 11.0 N03-Kri/* 17 Tau 1 173 N16-Vis N03-Kri 1 2009.0 2923.0 0
74 1216566.2 -1382-09-29 -1382 4 R4-śarat 185.6 N16-Vis/α2 Lib 0.5 7.7 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 0 2923.0 6940.0 0
75 1223506.2 -1363-09-29 -1363 4 R4-śarat 186.0 N16-Vis/α2 Lib 1.2 8.6 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 1 6940.0 11871.0 0
76 1235377.2 -1330-03-31 -1330 1 R1-vasanta 9.2 N03-Kri/* 17 Tau 4.9 185.9 N16-Vis/α2 Lib 1 176 N03-Kri N16-Vis 1 11871.0 4932.0 0
77 1240309.2 -1317-10-01 -1317 4 R4-śarat 187.9 N16-Vis/α2 Lib -0.7 12.2 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 1 4932.0 1092.0 0
78 1241401.2 -1314-09-27 -1314 4 R4-śarat 184.1 N16-Vis/α2 Lib -4.4 9.5 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 0 1092.0 16803.0 0
79 1258204.2 -1268-09-29 -1268 4 R4-śarat 186.0 N16-Vis/α2 Lib 4.0 10.0 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 0 16803.0 6940.0 0
80 1265144.2 -1249-09-30 -1249 4 R4-śarat 186.4 N16-Vis/α2 Lib 4.4 10.0 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 0 6940.0 6940.0 0
81 1272084.2 -1230-09-30 -1230 4 R4-śarat 186.8 N16-Vis/α2 Lib 4.7 11.3 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 0 6940.0 4016.0 0
82 1276100.2 -1219-09-28 -1219 4 R4-śarat 185.1 N16-Vis/α2 Lib -4.9 10.8 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 1 4016.0 915.0 0
83 1277015.2 -1216-03-31 -1216 1 R1-vasanta 9.6 N03-Kri/* 17 Tau 3.0 183.5 N16-Vis/α2 Lib 1 173 N03-Kri N16-Vis 1 915.0 4932.0 0
84 1281947.2 -1203-10-01 -1203 4 R4-śarat 188.2 N16-Vis/α2 Lib -3.8 9.7 N03-Kri/* 17 Tau 1 178 N16-Vis N03-Kri 1 4932.0 4016.0 0
85 1285963.2 -1192-09-29 -1192 4 R4-śarat 186.5 N16-Vis/α2 Lib 5.0 11.2 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 0 4016.0 9863.0 0
86 1295826.2 -1165-10-01 -1165 4 R4-śarat 188.0 N16-Vis/α2 Lib -4.6 11.7 N03-Kri/* 17 Tau 1 176 N16-Vis N03-Kri 0 9863.0 4016.0 0
87 1299842.2 -1154-09-29 -1154 4 R4-śarat 186.3 N16-Vis/α2 Lib 4.9 11.2 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 0 4016.0 5847.0 0
88 1305689.2 -1138-10-02 -1138 4 R4-śarat 189.5 N16-Vis/α2 Lib 3.8 11.9 N03-Kri/* 17 Tau 1 177 N16-Vis N03-Kri 0 5847.0 1093.0 0
89 1306782.2 -1135-09-29 -1135 4 R4-śarat 186.7 N16-Vis/α2 Lib 4.8 12.6 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 0 1093.0 6940.0 0
90 1313722.2 -1116-09-29 -1116 4 R4-śarat 187.1 N16-Vis/α2 Lib 4.5 12.6 N03-Kri/* 17 Tau 1 174 N16-Vis N03-Kri 0 6940.0 16803.0 0
91 1330525.2 -1070-10-02 -1070 4 R4-śarat 189.0 N16-Vis/α2 Lib -4.8 13.0 N03-Kri/* 17 Tau 1 175 N16-Vis N03-Kri 0 16803.0 17895.0 0
92 1348420.2 -1021-09-30 -1021 4 R4-śarat 187.1 N16-Vis/α2 Lib 2.1 14.0 N03-Kri/* 17 Tau 1 173 N16-Vis N03-Kri 1 17895.0 nan 0
s sd0 sd-1 sd1
0 1 NaN 3.00 NaN
1 4 3.00 5.00 NaN
2 9 5.00 7.00 3.00
3 16 7.00 9.00 5.00
4 25 9.00 11.00 7.00
5 36 11.00 13.00 9.00
6 49 13.00 15.00 11.00
7 64 15.00 17.00 13.00
8 81 17.00 19.00 15.00
9 100 19.00 NaN 17.00
yr_band (-2406, -2405] (-1563, -1562] (-1221, -1220] (-1156, -1155] (-820, -819] (-589, -588] (-413, -412]
moon_न
N01-Ash 1 1 1 1 1 1 1
N02-Bha 0 0 0 0 0 0 0
N03-Kri 1 1 1 1 1 1 1
N04-Roh 0 0 0 0 0 0 0
N05-Mrg 1 1 1 1 1 1 1
N06-Ard 0 0 0 0 0 0 0
N07-Pun 0 0 0 0 0 0 0
N08-Pus 1 1 1 1 1 1 1
N09-Asl 0 0 0 0 0 0 0
N10-Mag 1 0 1 0 0 1 0
N11-PPal 0 0 0 0 0 0 0
N12-UPal 0 1 0 1 1 0 1
N13-Has 1 1 1 1 1 1 1
N14-Chi 0 0 0 0 0 0 0
N15-Swa 0 0 0 0 0 0 0
N16-Vis 1 1 1 1 1 1 1
N17-Anu 0 0 0 0 0 0 0
N18-Jye 1 1 1 1 1 1 1
N19-Mul 0 0 0 0 0 0 0
N20-PAsh 1 1 1 1 1 1 1
N21-UAsh 0 0 0 0 0 0 0
N22-Shr 1 1 1 1 1 1 1
N23-Dha 1 0 1 0 0 0 0
N24-Sha 0 1 0 1 1 1 1
N25-PBha 1 1 1 1 1 1 1
N26-UBha 0 0 0 0 0 0 0
N27-Rev 0 0 0 0 0 0 0
err 4 4 4 4 4 4 4 
Mon Nov 28 14:51:45 IST 2022

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